24 citations · 27 across the 12 of their papers we have counts for
18 papers
A conservative multiscale method for stochastic highly heterogeneous flow
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a local model reduction approach for subsurface flow problems in stochastic and highly heterogeneous media. To guarantee the mass conservation, we conside…
Inverse Problem of Nonlinear Schrödinger Equation as Learning of Convolutional Neural Network
Yiran Wang, Zhen Li
In this work, we use an explainable convolutional neural network (NLS-Net) to solve an inverse problem of the nonlinear Schrödinger equation, which is widely used in fiber-optic co…
Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds
Yiran Wang
For the light ray transform on globally hyperbolic Lorentzian manifolds of dimension acting on compactly supported distributions, we show that the Schwartz kernel of t…
The anisotropic Calderón problem for high fixed frequency
Gunther Uhlmann, Yiran Wang
We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex bound…
Constraint energy minimization generalized multiscale finite element method in mixed formulation for parabolic equations
Yiran Wang, Eric Chung, Lina Zhao
In this paper, we develop the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) in mixed formulation applied to parabolic equations with hete…
Adaptive multiscale model reduction for nonlinear parabolic equations using GMsFEM
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a coupled Discrete Empirical Interpolation Method (DEIM) and Generalized Multiscale Finite element method (GMsFEM) to solve nonlinear parabolic equations…